3 papers
math.CV2025
Vieta's Formulas for Quaternionic Polynomials
Vitalii Shpakivskyi
The paper presents analogues of some Vieta formulas for quaternionic polynomials of the form . A criterion for the sphericity of the root (zero)…
math.AP2024
Construction of an Infinite-Dimensional Family of Exact Solutions of the Klein--Gordon Equation by the Hypercomplex Method
Vitalii Shpakivskyi
The infinite-dimensional family of exact solutions of the Klein--Gordon equation is constructed by the hypercomplex method.
math.AC2024
Construction of an infinite-dimensional family of exact solutions of a three-dimensional biharmonic equation by the hypercomplex method
Vitalii Shpakivskyi
An infinite-dimensional family of exact solutions of a three-dimensional biharmonic equation was constructed by the hypercomplex method.